What is factor 10x^2y+15xy^2-35xy ?

The solution to factor 10x^2y+15xy^2-35xy is 5xy(2x+3y-7)

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factor 10x^2y+15xy^2-35xy

factor

10 x^{2} y + 15 x y^{2} - 35 x y

5 x y (2 x + 3 y - 7)

Solution steps

10 x^{2} y + 15 x y^{2} - 35 x y

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{2} y = xx y, x y^{2} = x yy

= 10 xx y + 15 x yy - 35 x y

Rewrite

- 35

7 \cdot 5

Rewrite

15

3 \cdot 5

= 2 \cdot 5 xx y + 3 \cdot 5 x yy + 7 \cdot 5 x y

Factor out common term

5 x y

= 5 x y (2 x + 3 y - 7)

(2 w^{2} + w - 5) + (4 w^{2} + 7 w + 1)

- 2 (3 + m)

10 + 6

18 - 7

19 - 7

What is factor 10x^2y+15xy^2-35xy ?
The solution to factor 10x^2y+15xy^2-35xy is 5xy(2x+3y-7)